Question

a cyclist can cover a certain distance at a speed of 28 km/hr in 65 minutes .What will his speed if he covers the same distance in 35 minutes​

Answer 1

$\underline{\mathfrak{\huge{Question:}}}$

A cyclist can cover a certain distance at a speed of 28 km/hr in 65 minutes. What will be his speed if he covers the same distance in 35 minutes ?

$\underline{\mathfrak{\huge{Answer:}}}$

Start with finding the distance as we are given with the time and speed.

Distance = Speed × Time

Speed = 28 km/hr
Time = 65 minutes = $\frac{65}{60}$ hr

Distance = $28 \times \frac{65}{60}$

=》 Distance = $\frac{91}{3}$ km

Now, we are given that :-

Time = 35 minutes = $\frac{35}{60}$

Distance = $\frac{91}{3}$

Speed = $\tt{\frac{Distance}{Time}}$

=》 Speed = $\frac{91}{3} \times \frac{60}{35}$

=》 $\boxed{\tt{Speed = 52 km/hr}}$

Therefore, the speed will be equal to 52 km/hr .

Answer 2

A cyclist can cover a certain distance at a speed of 28 km/hr in 65 minutes. What will be his speed if he covers the same distance in 35 minutes?

Step by step explanation :

We know that,

$\tt{Speed = \frac{Distance}{ Time }}$

So,

Speed = Distance × Time

As per your question,

Speed = 28 km/hr.

Time = 65 mins.

Converting the given time into hrs. ,

Time = 65/60 hrs.

So,

$\tt{Distance = 28 \times \frac{65}{60}}$

$\tt {=14 \times \frac{65}{30}}$

$\tt {= 30.2} \: (approx.)$

Now,

We have to find his speed if he covers covers the same distance in 35 minutes.

Converting 35 mins into hrs = 35/60 hrs.

$\tt{Speed = \frac{Distance}{ Time}}$

$\tt{ = \frac{30.2}{ \frac{35}{60} }}$

$\tt{= 30.2 \times \frac{60}{35}}$

= 52 km/hrs. ( approx )

Hence,
His speed will be 52 km/hrs if he covers the same distance in 35 minutes.